2007/03/28 by M. M. Stetsko, V. M. Tkachuk · 50 citations
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Born approximation #Classical mechanics #Coulomb #Cross section (physics) #Function (biology) #Mathematical analysis #Mathematics #Noncommutative and Quantum Gravity Theories #Optical theorem #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum electrodynamics #Quantum mechanics #Scattering #Scattering amplitude #Scattering length #Scattering theory #Space (punctuation) #Yukawa potential #hep-th
paper · pdf · doi:10.1103/physreva.76.012707
published in Physical Review A 76(1) (American Physical Society) · 9 pages, 1 figure
arxiv created 2007/03/28 · openalex publication_date 2007/07/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigated the elastic scattering problem with deformed Heisenberg algebra leading to the existence of a minimal length. The continuity equations for the moving particle in deformed space were constructed. We obtained the Green's function for a free particle, the scattering amplitude, and the cross section in deformed space. We also calculated the scattering amplitudes and differential cross sections for the Yukawa and the Coulomb potentials in the Born approximation.